# How to simplify this equation?

1. Dec 6, 2012

### tahayassen

1. The problem statement, all variables and given/known data

$$\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } }$$

2. Relevant equations

3. The attempt at a solution

Wolfram Alpha somehow managed to simplify the equation to just simply 100. Here's my attempt:

$$\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } \\ =\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } *\frac { 100 }{ 100 } \\ =\frac { 100x+{ 100 }^{ 2 } }{ 100+x }$$

2. Dec 6, 2012

### micromass

Staff Emeritus
Can you factorize the numerator?? Can you write it as 100+x times some number?

3. Dec 6, 2012

### tahayassen

Like this?

$$\frac { x(1+\frac { 100 }{ x } ) }{ 1+\frac { x }{ { 100 } } }$$

Edit: Never mind. Got it.

$$\frac { x+100 }{ 1+\frac { x }{ { 100 } } } \\ =\frac { x+100 }{ 1+\frac { x }{ { 100 } } } *\frac { 100 }{ 100 } \\ =\frac { 100(x+{ 100 }) }{ 100+x } \\ =100$$

Last edited: Dec 6, 2012
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